{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# ***Introduction to Radar Using Python and MATLAB***\n",
    "## Andy Harrison - Copyright (C) 2019 Artech House\n",
    "<br/>\n",
    "\n",
    "# Plane Waves\n",
    "***"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Referring to Section 2.5, The solutions to (Equations 2.53 and 2.54) represent waves.  Waves with one-dimensional spatial dependence are known as **plane waves**.  A particular form of this solution, known as **uniform plane waves**, has an electric field with uniform direction, magnitude, and phase in infinite planes perpendicular to the direction of propagation. The same is also true of the magnetic field.  Uniform plane waves cannot exist in practice, as it requires a source of infinite extent to create such electric and magnetic fields.  However, if the observer is far enough away from the source, the surfaces of constant phase **wavefronts** become nearly spherical.  On a very small portion of a very large sphere, the wavefront then becomes nearly planar. While the properties of uniform plane waves are simple, their study is of importance both theoretically and practically.\n",
    "***"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Begin by getting library path"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import lib_path"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Set up the frequency (Hz), the relative permittivity, the relative permeability, and the conductivity (S/m)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "frequency = 300e6\n",
    "\n",
    "relative_permittivity = 4.3\n",
    "\n",
    "relative_permeability = 1.0\n",
    "\n",
    "conductivity = 0.05"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Set up the keyword args"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "kwargs = {'frequency':              frequency,\n",
    "\n",
    "          'relative_permittivity':  relative_permittivity,\n",
    "\n",
    "          'relative_permeability':  relative_permeability,\n",
    "\n",
    "          'conductivity':           conductivity}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Calculate the plane wave parameters using the `plane_wave` routines from `wave_propagation`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "from Libs.wave_propagation import plane_waves\n",
    "\n",
    "propagation_constant, phase_constant, attenuation_constant, wave_impedance, skin_depth, wavelength, phase_velocity = plane_waves.parameters(**kwargs)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Display the plane wave parameters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Propagation Constant (1/m)  4.312e+00+1.373e+01j\n",
      "Phase Constant (rad/m)      1.373e+01\n",
      "Attenuation Constant (Np/m) 4.312e+00\n",
      "Wave Impedance (Ohms)       1.570e+02+4.930e+01j\n",
      "Skin Depth (m)              2.319e-01\n",
      "Wavelength (m)              4.575e-01\n",
      "Phase Velocity (m/s)        1.373e+08\n"
     ]
    }
   ],
   "source": [
    "print('Propagation Constant (1/m)  {:.3e}'.format(propagation_constant))\n",
    "\n",
    "print('Phase Constant (rad/m)      {:.3e}'.format(phase_constant))\n",
    "\n",
    "print('Attenuation Constant (Np/m) {:.3e}'.format(attenuation_constant))\n",
    "\n",
    "print('Wave Impedance (Ohms)       {:.3e}'.format(wave_impedance))\n",
    "\n",
    "print('Skin Depth (m)              {:.3e}'.format(skin_depth))\n",
    "\n",
    "print('Wavelength (m)              {:.3e}'.format(wavelength))\n",
    "\n",
    "print('Phase Velocity (m/s)        {:.3e}'.format(phase_velocity))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Display the results using the routines from `matplotlib`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "from numpy import linspace\n",
    "\n",
    "# Determine 2 lambda distance for plotting\n",
    "\n",
    "z = linspace(0, 2.0 * wavelength, 1000)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Set up the angular frequency"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy.constants import pi\n",
    "\n",
    "omega = 2.0 * pi * frequency"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Set up the time"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "next_time = 10\n",
    "\n",
    "time = next_time / omega * 0.1"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Calculate the electric and magnetic fields"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "from numpy import exp, real\n",
    "\n",
    "exp_term = exp(-propagation_constant * z) * exp(1j * omega * time)\n",
    "\n",
    "Ex = real(exp_term)\n",
    "\n",
    "Hy = real(exp_term / wave_impedance)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Display the fields using the routines from `matplotlib`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 1080x720 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from matplotlib import pyplot as plt\n",
    "\n",
    "\n",
    "# Set the figure size\n",
    "\n",
    "plt.rcParams[\"figure.figsize\"] = (15, 10)\n",
    "\n",
    "\n",
    "# Set up the axes\n",
    "\n",
    "fig, axes1 = plt.subplots()\n",
    "\n",
    "axes2 = axes1.twinx()\n",
    "\n",
    "\n",
    "\n",
    "# Display the fields\n",
    "\n",
    "axes1.plot(z, Ex, label='Electric Field')\n",
    "\n",
    "axes2.plot(z, Hy, 'r--', label='Magnetic Field')\n",
    "\n",
    "\n",
    "\n",
    "# Set the plot title and labels\n",
    "\n",
    "axes1.set_title('Uniform Plane Wave', size=14)\n",
    "\n",
    "axes1.set_xlabel('Distance (meters)', size=12)\n",
    "\n",
    "axes1.set_ylabel('Electric Field (V/m)', size=12)\n",
    "\n",
    "axes2.set_ylabel('Magnetic Field (A/m)', size=12)\n",
    "\n",
    "\n",
    "\n",
    "# Set the tick label size\n",
    "\n",
    "axes1.tick_params(labelsize=12)\n",
    "\n",
    "axes2.tick_params(labelsize=12)\n",
    "\n",
    "\n",
    "\n",
    "# Set the legend\n",
    "\n",
    "axes1.legend(loc='upper right', prop={'size': 10})\n",
    "\n",
    "axes2.legend(loc='upper right', bbox_to_anchor=(1.0, 0.925), prop={'size': 10})\n",
    "\n",
    "\n",
    "\n",
    "# Turn on the grid\n",
    "\n",
    "axes1.grid(linestyle=':', linewidth=0.5)"
   ]
  }
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